About

The Perimeter app is a supplement to my candidate's thesis in math, whose topic is the theory of search. The aim of the app is to help illustrate the concept of perimeter function introduced in the thesis. Some math background is provided in the file perimeter.rtf.

Audience

As such, the app is mostly intended for those interested in the surrounding theory. However, one particular feature will be understood by anyone: draw a polygon with a mouse (or import it from a file) and then press the Maximum button -- this will show the shortest curve dividing the polygon into 2 parts equal in area (see the screen shot below).

Examples

• The 3 polygons defined in the 3 accompanying files casita?.txt only slightly differ from each other. Use the Maximum button to see how the shortest splitting curve evolves as the sizes of the sides change.

• The files regular_poly_????.txt define regular polygons with different numbers of vertices. Using the Graph button will show the convergence of the polygons' perimeter functions to that of a circle.

For the Russian interface, link with access_rus(UTF-16LE).rc.